Plants and fungi are believed, like all things, to have come from a common ancestor. They are lumped together in lower levels of biology for the sake of simplicity and though its true they do share traits like being multicellular, cell walls, DNA and a nuclei they are very different. The wall of a fungi is biologically different from that of a plant. The chart below shows that the types of fungi are very different from one another having all broken apart from each other at an early stage. The closes relationship between the phylums would be the Basidiomycota and the Ascomycota as they branched out later than the rest shown below.